Solve a system of equations using any method

Question

7x + 6y = ^–5

^–4x + y = ^–6

Answer 1

use substitution and elimination, or matrix algebra row reduction

7x +6y = -5

-4x +y = -6

y =-6+4x

substitute last value of y into 1st equation:

7x + 6(-6+4x) = -5

7x -36 +24x = -5

31x = -5+36=31

x=1

y = -6+4x = -6+4(1) = -2

y=-2

(x,y) = (1,-2) is the intersection point when the 2 lines are graphed